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Finding the Third Proportional to 80,132 and 170,990

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Solution

The third proportional to 80,132 and 170,990 is: 364,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,132 : 170,990 = 170,990 : x
  2. Step 2: Convert to fraction form
    80,132/170,990 = 170,990/x
  3. Step 3: Cross multiply
    80,132x = 170,990 × 170,990
  4. Step 4: Simplify right side
    80,132x = 29,237,580,100
  5. Step 5: Solve for x
    x = 29,237,580,100/80,132
  6. Step 6: Final answer
    x = 364,867.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.